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Journal of Applied Mathematics and Stochastic Analysis 
Volume 8 (1995), Issue 3, Pages 265-274
doi:10.1155/S1048953395000244

On the limiting behavior of a harmonic oscillator with random external disturbance

G. L. Kulinich

Kiev University, Department of Mathematics, 64 Volodymyrska St., Kiev 252017, Ukraine

Received 1 October 1994; Revised 1 March 1995

Abstract

This paper deals with the limiting behavior of a harmonic oscillator under the external random disturbance that is a process of the white noise type. Influence of noises is investigated in resonance and non-resonance cases.